dc.contributor.author
Li, Shimin
dc.contributor.author
Llibre, Jaume
dc.contributor.author
Sun, Xianbo
dc.identifier
https://ddd.uab.cat/record/281994
dc.identifier
urn:10.1016/j.nahs.2023.101350
dc.identifier
urn:oai:ddd.uab.cat:281994
dc.identifier
urn:scopus_id:85151798112
dc.identifier
urn:articleid:1751570Xv49p101350
dc.identifier
urn:oai:egreta.uab.cat:publications/e0dfbc44-532b-40b3-ab43-4b1a12f83d73
dc.identifier
urn:gsduab:5538
dc.identifier
urn:wos_id:001055364200001
dc.description.abstract
We prove that for any piecewise-smooth bounded polynomial vector field in R2 with finitely many finite H-singular points (which include singular points, hyperbolic pseudo-equilibria and two fold singularities), the sum of the indices of all its finite H-singular points is 1.
dc.format
application/pdf
dc.relation
Agencia Estatal de Investigación PID2019-104658GB-I00
dc.relation
European Commission 777911
dc.relation
Nonlinear Analysis: Hybrid Systems ; Vol. 49 (August 2023), art. 101350
dc.rights
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
dc.rights
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject
Bounded vector field
dc.subject
Index of singular points
dc.subject
Piecewise smooth polynomial vector field
dc.subject
Stereographic projection
dc.title
On the indices of singular points for planar bounded piecewise smooth polynomial vector field
